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== Sub Projects ==
== Sub Projects ==
'''''Boolean chains'''''


# '''''Boolean chains'''''My name is Oliver, I'm interested in maths, computer science, and combinatorial problems.
My name is Oliver, I'm interested in maths, computer science, and combinatorial problems.


I've been studying [https://www.informit.com/store/art-of-computer-programming-volumes-1-4b-boxed-set-9780137935109 The Art of Computer Programming] by Donald E. Knuth, working on some of the exercises and some of the open problems. In Volume 4A, chapter 7.1.2 the topic of boolean chains comes up. Basically, it's about a chain of boolean operations on some input values x_1, ..., x_n and intermediate results of those operations, such that a set of desired functions f_1, ..., f_m on those inputs can be evaluated. The goal is to make such a chain as small as possible, because that makes for small circuitry with fewer parts.
I've been studying [https://www.informit.com/store/art-of-computer-programming-volumes-1-4b-boxed-set-9780137935109 The Art of Computer Programming] by Donald E. Knuth, working on some of the exercises and some of the open problems. In Volume 4A, chapter 7.1.2 the topic of boolean chains comes up. Basically, it's about a chain of boolean operations on some input values x_1, ..., x_n and intermediate results of those operations, such that a set of desired functions f_1, ..., f_m on those inputs can be evaluated. The goal is to make such a chain as small as possible, because that makes for small circuitry with fewer parts.